Solving Proportions & Literal Equations

Definition: "Cross-Multiply" - the act of multiplying ______________ across an equation in order to get rid of a ______________

• EQUATION

• INVERSELY

• DIAGONALLY

• FRACTION

What is the first step when solving PROPORTIONS?

• Distribute

• Cross-Multiply

• Combine Like Terms

Tags

CCSS.7.EE.B.3

Solve for x:

 $\frac{x}{4}=\frac{7}{2}$  

• x = 28

• x = 3.5

• x = 14

• x= -14

Solve for x:

 $\frac{\left(x+2\right)}{12}=\frac{5}{6}$  

        x = (a)  

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

Solve for x:

 $\frac{\left(x+3\right)}{\left(x+4\right)}=\frac{1}{2}$  

• x = 10

• x = -10

• x = 2

• x = -2

Tags

CCSS.HSA.REI.A.2

True / False:

When solving LITERAL EQUATIONS, our goal is to isolate a given variable -- not solve for it numerically.

• TRUE

• FALSE

Solve for x:

ax + b = c

• $x\ =\ \frac{\left(b-c\right)}{a}$

• $x\ =\ \frac{\left(c-b\right)}{a}$

• $x\ =\ \frac{c}{a}-b$

• $x\ =\ \frac{b}{a}-c$

How was this new material for you?

• Piece of Cake!

• Cross-Multiplying is easy.

  I need more help on Literal Equations.

• Literal Equations is easy.

  I need more help on Cross-Multiplying.

• I did the notes, but I had trouble with both.

• I let you down and didn't do the notes.BUT I WILL TURN THEM IN BY THE END OF THE DAY!